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Finding the Third Proportional to 159,408 and 348,462

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Solution

The third proportional to 159,408 and 348,462 is: 761,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408 : 348,462 = 348,462 : x
  2. Step 2: Convert to fraction form
    159,408/348,462 = 348,462/x
  3. Step 3: Cross multiply
    159,408x = 348,462 × 348,462
  4. Step 4: Simplify right side
    159,408x = 121,425,765,444
  5. Step 5: Solve for x
    x = 121,425,765,444/159,408
  6. Step 6: Final answer
    x = 761,729.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.